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Finding the Third Proportional to 132,858 and 200,394

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Solution

The third proportional to 132,858 and 200,394 is: 302,260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,858 : 200,394 = 200,394 : x
  2. Step 2: Convert to fraction form
    132,858/200,394 = 200,394/x
  3. Step 3: Cross multiply
    132,858x = 200,394 × 200,394
  4. Step 4: Simplify right side
    132,858x = 40,157,755,236
  5. Step 5: Solve for x
    x = 40,157,755,236/132,858
  6. Step 6: Final answer
    x = 302,260.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.